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Finding the Fourth Proportional to 713,047.47, 984,013.26 and 390,750.64

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Solution

The fourth proportional to 713,047.47, 984,013.26 and 390,750.64 is: 539,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,047.47 : 984,013.26 = 390,750.64 : x
  2. Step 2: Convert to fraction form
    713,047.47/984,013.26 = 390,750.64/x
  3. Step 3: Cross multiply
    713,047.47x = 984,013.26 × 390,750.64
  4. Step 4: Simplify right side
    713,047.47x = 384,503,813,832.24
  5. Step 5: Solve for x
    x = 384,503,813,832.24/713,047.47
  6. Step 6: Final answer
    x = 539,240.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.